Mathematical Model of Transmission Mechanism from Multiphase Composite System

2013 ◽  
Vol 850-851 ◽  
pp. 300-303
Author(s):  
Guan Min Li
Keyword(s):  
Mathematical Model ◽  
Ionic Conductivity ◽  
Polymer Electrolytes ◽  
Conduction Mechanism ◽  
Composite System ◽  
Effective Medium Theory ◽  
Transmission Mechanism ◽  
Medium Theory ◽  
Ion Conduction Mechanism ◽  
Multiphase Composite

As part of the weak electrolyte, Multiphase Composite System’s structure is more complex. So the conductive electrolyte ion transport has some difficulty to understanding the mechanism. And the present study has not yet reached a consensus, but through the ion conduction mechanism in-depth research on polymer electrolytes Preparation of important guiding significance. Current theories include ionic conductivity effective medium theory (EMT), MN law, WFL equation, NE equation, dynamic bonding penetration model.

Generalized effective-medium theory of induced polarization

Geophysics ◽  
2008 ◽  
Vol 73 (5) ◽  
pp. F197-F211 ◽  
Author(s):  
Michael Zhdanov
Keyword(s):  
Mathematical Model ◽  
Arbitrary Shape ◽  
Effective Conductivity ◽  
Effective Medium Theory ◽  
Induced Polarization ◽  
Effective Medium ◽  
Matrix Composition ◽  
Medium Theory ◽  
Rock Formations ◽  
The Matrix

A rigorous physical-mathematical model of heterogeneous conductive media is based on the effective-medium approach. A generalization of the classical effective-medium theory (EMT) consists of two major parts: (1) introduction of effective-conductivity models of heterogeneous, multiphase rock formations with inclusions of arbitrary shape and conductivity using the principles of the quasi-linear (QL) approximation within the framework of the EMT formalism and (2) development of the generalized effective-medium theory of induced polarization (GEMTIP), which takes into account electromagnetic-induction (EMI) and induced polarization (IP) effects related to the relaxation of polarized charges in rock formations. The new generalized EMT provides a unified mathematical model of heterogeneity, multiphase structure, and the polarizability of rocks. The geoelectric parameters of this model are determined by the intrinsic petrophysical and geometric characteristics of composite media: the mineralization and/or fluid content of rocks and the matrix composition, porosity, anisotropy, and polarizability of formations. The GEMTIP model allows one to find the effective conductivity of a medium with inclusions that have arbitrary shape and electrical properties. One fundamental IP model of an isotropic, multiphase, heterogeneous medium is filled with spherical inclusions. This model, because of its relative simplicity, makes it possible to explain the close relationships between the new GEMTIP conductivity-relaxation model and an empirical Cole-Cole model or classical Wait’s model of the IP effect.

Ionic Conduction Mechanism of Solid Biodegradable Polymer Electrolytes Based Carboxymethyl Cellulose Doped Ammonium Thiocyanate

2015 ◽  
Vol 719-720 ◽  
pp. 114-118 ◽  
Author(s):  
M.I.N. Isa ◽  
Noor Azniza Mohd Noor
Keyword(s):  
Ionic Conductivity ◽  
Biodegradable Polymer ◽  
Polymer Electrolytes ◽  
Carboxymethyl Cellulose ◽  
Conduction Mechanism ◽  
Ionic Conduction ◽  
Ammonium Thiocyanate ◽  
Electrical Impedance Spectroscopy ◽  
Dielectric Data ◽  
Solution Casting Method

A conducting solid biodegradable polymer electrolytes based carboxymethyl cellulose (CMC) doped ammonium thiocyanate (NH4SCN) system with concentration in the range 0 – 25 wt.% of NH4SCN have been prepared via solution casting method. The impedance study of CMC-NH4SCN system was measured via Electrical Impedance Spectroscopy (EIS) in the temperature range 303 K – 353 K. The highest ionic conductivity at room temperature (303 K) is 6.48 x 10-5Scm-1for sample containing 25 wt.% NH4SCN. The temperature dependence of CMC-NH4SCN system was found to obey the Arrhenius behaviour where the ionic conductivity increases with increase of temperature. Dielectric data were analyzed using complex permittivity, Ɛifor sample with the highest ionic conductivity at various temperatures and found was non Debye behavior. The conduction mechanism of the charge carrier of CMC-NH4SCN system can be presented by quantum mechanical tunneling (QMT) model.

Effective Medium Theory for Ionic Conductivity of Insulator Dispersed Composite Electrolytes

1996 ◽  
Vol 223-224 ◽  
pp. 279-282
Author(s):  
A.J. Bhattacharyya ◽  
T. Dutta ◽  
S. Roy ◽  
S. Tarafdar ◽  
T.R. Middya
Keyword(s):  
Ionic Conductivity ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Composite Electrolytes ◽  
Medium Theory

Effective medium theory based modeling of the thermoelectric properties of composites: comparison between predictions and experiments in the glass–crystal composite system Si10As15Te75–Bi0.4Sb1.6Te3

2015 ◽  
Vol 3 (42) ◽  
pp. 11090-11098 ◽  
Author(s):  
J.-B. Vaney ◽  
A. Piarristeguy ◽  
V. Ohorodniichuck ◽  
O. Ferry ◽  
A. Pradel ◽  
...  
Keyword(s):  
Thermoelectric Properties ◽  
Composite System ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Glass Crystal ◽  
Crystal Composite ◽  
Properties Of Composites ◽  
Modeling Study

An experimental and modeling study of glass–crystal Si10As15Te75–Bi0.4Sb1.6Te3 composites.

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